Answer:
The correct answer is D) (-2, -1)
Step-by-step explanation:
In order to solve this system of equations, start by multiplying the entire first equation by 2. Then add the two equations together. This will get the y's to cancel and allow you to solve for x.
-4x + 2y = -10
3x - 2y = 12
---------------------
-x = 2
x = -2
Now that we have the value for x, we can find y by plugging the x value into either equation.
-2x + y = -5
-2(2) + y = -5
-4 + y = -5
y = -1
Let p = number of people that cast their vote.
p = 0.35(15, 000)
p = 5,250
Option A:

Solution:
Given data:
Center of the circle is (5, 3).
Radius of the circle = 4
To find the equation of the circle:
The general form of the equation of a circle in centre-radius format is

where (h, k) is the centre of the circle and r is the radius of the circle.
Substitute the given values in the equation of a circle formula:


The equation of the given circle is
.
Hence Option A is the correct answer.